Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023362087> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2023362087 endingPage "648" @default.
- W2023362087 startingPage "634" @default.
- W2023362087 abstract "Purpose The purpose of this paper is to develop a fully discrete local discontinuous Galerkin (LDG) finite element method for solving a time‐fractional advection‐diffusion equation. Design/methodology/approach The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. Findings By choosing the numerical fluxes carefully the authors' scheme is proved to be unconditionally stable and gets L 2 error estimates of O ( h k +1 +(Δ t ) 2 +(Δ t ) α /2 h k +(1/2) ). Finally Numerical examples are performed to illustrate the effectiveness and the accuracy of the method. Originality/value The proposed method is different from the traditional LDG method, which discretes an equation in spatial direction and couples an ordinary differential equation (ODE) solver, such as Runger‐Kutta method. This fully discrete scheme is based on a finite difference method in time and local discontinuous Galerkin methods in space. Numerical examples prove that the authors' method is very effective. The present paper is the authors' first step towards an effective approach based on the discontinuous Galerkin method for the solution of fractional‐order problems." @default.
- W2023362087 created "2016-06-24" @default.
- W2023362087 creator A5014109013 @default.
- W2023362087 creator A5074504664 @default.
- W2023362087 creator A5081305539 @default.
- W2023362087 date "2013-05-03" @default.
- W2023362087 modified "2023-10-01" @default.
- W2023362087 title "Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations" @default.
- W2023362087 cites W1559244587 @default.
- W2023362087 cites W1966258563 @default.
- W2023362087 cites W2000659785 @default.
- W2023362087 cites W2022691550 @default.
- W2023362087 cites W2023065763 @default.
- W2023362087 cites W2057828407 @default.
- W2023362087 cites W2069036386 @default.
- W2023362087 cites W2092912961 @default.
- W2023362087 cites W2116024271 @default.
- W2023362087 cites W2165076033 @default.
- W2023362087 cites W2732661672 @default.
- W2023362087 cites W4211052487 @default.
- W2023362087 doi "https://doi.org/10.1108/09615531311323782" @default.
- W2023362087 hasPublicationYear "2013" @default.
- W2023362087 type Work @default.
- W2023362087 sameAs 2023362087 @default.
- W2023362087 citedByCount "36" @default.
- W2023362087 countsByYear W20233620872012 @default.
- W2023362087 countsByYear W20233620872013 @default.
- W2023362087 countsByYear W20233620872014 @default.
- W2023362087 countsByYear W20233620872015 @default.
- W2023362087 countsByYear W20233620872016 @default.
- W2023362087 countsByYear W20233620872017 @default.
- W2023362087 countsByYear W20233620872018 @default.
- W2023362087 countsByYear W20233620872019 @default.
- W2023362087 countsByYear W20233620872020 @default.
- W2023362087 countsByYear W20233620872021 @default.
- W2023362087 countsByYear W20233620872022 @default.
- W2023362087 countsByYear W20233620872023 @default.
- W2023362087 crossrefType "journal-article" @default.
- W2023362087 hasAuthorship W2023362087A5014109013 @default.
- W2023362087 hasAuthorship W2023362087A5074504664 @default.
- W2023362087 hasAuthorship W2023362087A5081305539 @default.
- W2023362087 hasConcept C111919701 @default.
- W2023362087 hasConcept C121332964 @default.
- W2023362087 hasConcept C126255220 @default.
- W2023362087 hasConcept C134306372 @default.
- W2023362087 hasConcept C135628077 @default.
- W2023362087 hasConcept C154249771 @default.
- W2023362087 hasConcept C186899397 @default.
- W2023362087 hasConcept C205951836 @default.
- W2023362087 hasConcept C2778572836 @default.
- W2023362087 hasConcept C2778770139 @default.
- W2023362087 hasConcept C28826006 @default.
- W2023362087 hasConcept C33923547 @default.
- W2023362087 hasConcept C34862557 @default.
- W2023362087 hasConcept C41008148 @default.
- W2023362087 hasConcept C51544822 @default.
- W2023362087 hasConcept C78045399 @default.
- W2023362087 hasConcept C92244383 @default.
- W2023362087 hasConcept C97355855 @default.
- W2023362087 hasConceptScore W2023362087C111919701 @default.
- W2023362087 hasConceptScore W2023362087C121332964 @default.
- W2023362087 hasConceptScore W2023362087C126255220 @default.
- W2023362087 hasConceptScore W2023362087C134306372 @default.
- W2023362087 hasConceptScore W2023362087C135628077 @default.
- W2023362087 hasConceptScore W2023362087C154249771 @default.
- W2023362087 hasConceptScore W2023362087C186899397 @default.
- W2023362087 hasConceptScore W2023362087C205951836 @default.
- W2023362087 hasConceptScore W2023362087C2778572836 @default.
- W2023362087 hasConceptScore W2023362087C2778770139 @default.
- W2023362087 hasConceptScore W2023362087C28826006 @default.
- W2023362087 hasConceptScore W2023362087C33923547 @default.
- W2023362087 hasConceptScore W2023362087C34862557 @default.
- W2023362087 hasConceptScore W2023362087C41008148 @default.
- W2023362087 hasConceptScore W2023362087C51544822 @default.
- W2023362087 hasConceptScore W2023362087C78045399 @default.
- W2023362087 hasConceptScore W2023362087C92244383 @default.
- W2023362087 hasConceptScore W2023362087C97355855 @default.
- W2023362087 hasIssue "4" @default.
- W2023362087 hasLocation W20233620871 @default.
- W2023362087 hasOpenAccess W2023362087 @default.
- W2023362087 hasPrimaryLocation W20233620871 @default.
- W2023362087 hasRelatedWork W1501782796 @default.
- W2023362087 hasRelatedWork W1590663584 @default.
- W2023362087 hasRelatedWork W1975818132 @default.
- W2023362087 hasRelatedWork W1990767710 @default.
- W2023362087 hasRelatedWork W1998030649 @default.
- W2023362087 hasRelatedWork W2050788592 @default.
- W2023362087 hasRelatedWork W2051503810 @default.
- W2023362087 hasRelatedWork W2126968950 @default.
- W2023362087 hasRelatedWork W2410904169 @default.
- W2023362087 hasRelatedWork W2580571359 @default.
- W2023362087 hasVolume "23" @default.
- W2023362087 isParatext "false" @default.
- W2023362087 isRetracted "false" @default.
- W2023362087 magId "2023362087" @default.
- W2023362087 workType "article" @default.